michellewilliam michellewilliam
  • 06-06-2014
  • Mathematics
contestada

simplify by factoring, type exact answer,using radicals as needed.  (√120p¹⁷

Respuesta :

AL2006
AL2006 AL2006
  • 07-06-2014
120 ('p' to the 17th power) = (4 x 30) x ('p' to the 16th power) x ('p')

The square root of all that is √4 x √30 x √('p' to the 16th power) x √p

Take the square roots of the ones you know: 2 x √30 x ('p' to the 8th power) x √p

So finally, it's

2 ('p' to the 8th power) √(30 p) .
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